Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850ba |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
108733411718750 = 2 · 58 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93125,-10965625] |
[a1,a2,a3,a4,a6] |
Generators |
[46900:1112425:64] |
Generators of the group modulo torsion |
j |
48587168449/59150 |
j-invariant |
L |
6.4379110536125 |
L(r)(E,1)/r! |
Ω |
0.27331541277657 |
Real period |
R |
5.8887193629246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370x2 4550d2 |
Quadratic twists by: 5 -7 |